In the literature, several graph operations were defined and the spectra of graphs constructed by these graph operations were determined; see [1]}, [2]}, [3]}, [4]}, [5]}, [6]}, [7]}, [8]}, [9]} and the references therein. Recently, Gayathri and Rajkumar [10]} introduced a graph operation, namely, \(\mathcal {M}\) -join. Using this operation several new graph operations were defined and various graph operations in the literature were generalized. There in, the spectral properties of these graphs were investigated. In this direction, there are several hypergraph operations were defined in literature; see the survey paper [11]}. In [12]}, several hypergraph operations, such as the weighted join, the generalized corona were introduced and the adjacency spectra of the hypergraphs formed by these operations were determined. Also some families of cospectral hypergraphs with respect to the adjacency matrix were constructed using these operations. The adjacency spectra of the Cartesian product of hypergraphs was obtained in [13]}.
